951hz divide by 343m/s = <span>2.77259475
times the answer by 99hz = </span><span>274.48688
to 1 d.p is 274.5m/s</span>
Answer:
The answer is 90
Step-by-step explanation:
When HI=GH
Then m<G=m<I= 45
m<H=180-(45+45)=90
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Part 1) <span>In triangle PQR, mP= 43, PQ=7.5 and PR= 8.4. What is mR to the nearest degree?
we know that
the law of cosines establishes that
c</span>²=a²+b²-2*a*b*cos C
in this problem
c=QR
a=PQ=7.5
b=PR=8.4
C=angle P=43°
c²=a²+b²-2*a*b*cos C----> c²=7.5²+8.4²-2*7.5*8.4*cos 43°
c²=34.66--------> c=5.89
QR=5.9
applying the law of sines
7.5/sin R=5.9/sin 43-----> 7.5*sin 43=5.9*sin R---> sin R=7.5*sin 43/5.9
sin R=0.8669---------> R=arc sin (0.8669)----> R=60.11°----> R=60°
the answer Part 1) is the option
<span>D. 60
</span>
Part 2) <span>In triangle ABC mA=43, mB=62 and BC=22 in. What is AB to the nearest tenth of an inch?
we know that
</span>∠C=180-(62+43)-----> ∠C=75°
<span>
Applying the law of sines
22/sin 43=AB/sin 75------> AB=22*sin 75/ sin 43-----> AB=31.16 in
AB=31.2 in
the answer Part 2) is
</span><span>D.31.2</span>
5/8 6/8 is the correct omes
Answer:
$8017.84
Step-by-step explanation:
Because it is compounded annually, you have to use the formula
A= P(1+r)^t
(A is the future balance after t years, r is the % rate as a decimal, P is the starting amount -- the principal.)
So,
A = 2500(1 + 0.06)^20 (First, add inside the parentheses)
A = 2500(1.06)^20 (Then, do the exponent and the multiplication with a calculator)
A = 8017.84
